Q1 of 84 Page 4

Write the following in the expanded form:

(i) (a + 2b + c)2


(ii) (2a - 3b - c)2


(iii) (-3x + y + z)2


(iv) (m + 2n – 5p)2


(v) (2 + x – 2y)2


(vi) (a2 + b2 + c2)2


(vii) (ab + bc + ca)2


(viii)


(ix)


(x) (x + 2y + 4z)2


(xi) (2x - y + z)2


(xii) (-2x + 3y + 2z)2

(i) Using idendity,


(ii) Using idendity,



(iii) Using idendity,



(iv) Using idendity,



(v) Using idendity,



(vi) Using idendity,



(vii) Using idendity,



(viii) Using idendity,



(ix) Using idendity,



(x) Using idendity,



(xi) Using idendity,



(xii) Using idendity,



More from this chapter

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12

Simplify each of the following products:

(i)


(ii)


(iii) -x2 + 2x


(iv) (x2 + x – 2) (x2 - x + 2)


(v) (x3 - 3x2 – x) (x2 - 3x + 1)


(vi) (2x4 - 4x2 + 1) (2x4 - 4x2 - 1)

 13

Prove that a2+ b2+c2–ab–bc–ca is always non-negative for all values of a, b and c.

 2

Simplify:

(i) (a+b+c)2 +(a-b+c)2


(ii) (a+b+c)2 -(a-b+c)2


(iii) (a+b+c)2 +(a-b+c)2+(a+b-c)2


(iv) (2x+p+c)2-(2x-p+c)2


(v) (x2+y2-z2)2-(x2-y2+z2)2

 3

If a+b+c =0 and a2+b2+c2 =16, find the value of ab + bc + ca.